Fig. 2 | Nature Communications

Fig. 2

From: Unifying description of competing orders in two-dimensional quantum magnets

Fig. 2

Triangular lattice VBS and magnetic orders. a The reduced brioulin zone (BZ) stipulated by the momenta of \({\cal{V}}_{1,2,3},\bar \psi \tau ^{1,2,3}\psi\) which has an area 1/12 of the original one. The red/blue dots mark momenta of \({\cal{V}}_i\)’s and \(\bar \psi \tau ^{1,2,3}\psi\), respectively. b One particular VBS pattern inside a 12-site unit cell used in previous numerics for quantum dimer models which can result from any generic \(\bar \psi \tau ^i\psi\) and subsequent monopole proliferation, so long as they break all but the enlarged VBS Bravais lattice translations. Red/black bonds denote positive/vanishing valence bond weight. c A more symmetric VBS, invariant under C3 around the blue dot. d The 120° magnetic order induced by mass \(\bar \psi \sigma ^3\psi (M_{30})\)

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